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90307 = 721997
BaseRepresentation
bin10110000011000011
311120212201
4112003003
510342212
61534031
7524200
oct260303
9146781
1090307
1161938
1244317
1332149
1424ca7
151bb57
hex160c3

90307 has 12 divisors (see below), whose sum is σ = 111720. Its totient is φ = 72576.

The previous prime is 90289. The next prime is 90313. The reversal of 90307 is 70309.

90307 = 292 + 302 + ... + 662.

It is a happy number.

It is not a de Polignac number, because 90307 - 211 = 88259 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is an alternating number because its digits alternate between odd and even.

It is not an unprimeable number, because it can be changed into a prime (90397) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 883 + ... + 979.

It is an arithmetic number, because the mean of its divisors is an integer number (9310).

290307 is an apocalyptic number.

90307 is a gapful number since it is divisible by the number (97) formed by its first and last digit.

90307 is the 174-th hex number.

90307 is a deficient number, since it is larger than the sum of its proper divisors (21413).

90307 is a wasteful number, since it uses less digits than its factorization.

90307 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 189, while the sum is 19.

The square root of 90307 is about 300.5112310713. The cubic root of 90307 is about 44.8649448689.

90307 divided by its sum of digits (19) gives a triangular number (4753 = T97).

The spelling of 90307 in words is "ninety thousand, three hundred seven".

Divisors: 1 7 19 49 97 133 679 931 1843 4753 12901 90307